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MIYANISHI Yoshihisa｜Shinshu University Researcher List

MIYANISHI Yoshihisa

Academic Assembly School of Science and Technology Institute of Science

Associate Professor　

Researcher Information

Research Keyword

    Neumann--Poincaré operator, Linear operator, Quantization, Spectrum

Field Of Study

  • Global Analysis

Mail Address

    miyanishi★shinshu-u.ac.jp

Career

  • 2022
    The Open University of Japan
  • 2021
    Shinshu University Department of Mathematical Sciences, Faculty of Science Associate Professor
  • 2020 - 2021
    The Open University of Japan
  • 2020 - 2021
    Center for Research and Development Strategy
  • 2020 - 2021
    Osaka University Center for Mathematical Modeling and Data Science specially appointed lecturer
  • 2015 - 2020
    Osaka University
  • 2013 - 2015
    Osaka University
  • 2006 - 2007
    Tokyo institute of technology
  • 2004 - 2006
    Kanto Gakuin University College of Engineering
  • 2004 - 2008
    The Open University of Japan Study Centers
  • 2001 - 2006
    Shibaura Institute of Technology College of Engineering
  • 2000 - 2006
    Shonan Institute of Technology Faculty of Engineering

Educational Background

  • 2011 - 2014, Osaka University, Doctor of Philosophy
  • 1993 - 1995, Tokyo Institute of Technology, Master of Science
  • 1990 - 1993, Tokyo Institute of Technology, Bachelor of Science, Department of Physics
Research activity information

Paper

  • Circle Foliations by Geodesics Revisited: Periods of Flows whose Orbits are all Closed
    Yoshihisa Miyanishi
    International Journal of Geometric Methods in Modern Physics, To appear(To appear), Apr. 2025
  • CARLEMAN FACTORIZATION OF LAYER POTENTIALS ON SMOOTH DOMAINS
    Kazunori Ando, Hyoenbae Kang, Yoshihisa Miyanishi, Mihai Putinar
    Archive for Rational Mechanics and Analysis, To appear(To appear), Apr. 2025
  • Generic properties of the Neumann-Poincare operator: simplicity of eigenvalues and cyclic vectors
    Kazunori Ando, Hyoenbae Kang, Yoshihisa Miyanishi, Mihai Putinar
    Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, To appear(To appear), Mar. 2025
  • Decay rate of the eigenvalues of the Neumann-Poincare operator
    S. Fukushima, H. Kang, Y. Miyanishi
    Potential Analysis, Published Online, Dec. 2023電子ジャーナル
  • A short note on decay rates of odd partitions: An application of spectral asymptotics of the Neumann–Poincare operators
    Yoshihisa Miyanishi
    Archiv der Mathematik, 121, 419-424, Sep. 2023電子ジャーナル
  • Spectral properties of the Neumann-Poincare operator and cloaking by anomalous localized resonance: a review
    S. Fukushima, Yonggwan Ji, H. Kang and Y, Miyanishi
    The Journal of the Korean Society for Industrial and Applied Mathematics, Vol.27(No.2), 87-108, Jul. 2023電子ジャーナル
  • Spectral structure of the Neumann-Poincare operator on thin ellipsoids and flat domains
    Kazunori Ando, Hyeonbae Kang, Sanghyuk Lee, Yoshihisa Miyanishi
    SIAM Journal on Mathematical Analysis, Nov. 2022電子ジャーナル
  • Weyl’s law for the eigenvalues of the Neumann–Poincare operators in three dimensions: Willmore energy and surface geometry
    Yoshihisa Miyanishi
    Advances in Mathematics, 406, Sep. 2022電子ジャーナル
  • Spectral structure of the Neumann-Poincaré operator on thin domains in two dimensions
    Kazunori Ando,Hyeonbae Kang,Yoshihisa Miyanishi
    Journal d’Analyse Mathématique, Jun. 2022電子ジャーナル
  • Surface localization of plasmons in three dimensions and convexity
    Kazunori Ando,Hyeonbae Kang,Yoshihisa Miyanishi,Takashi Nakazawa
    SIAM JOURNAL ON APPLIED MATHEMATICS, Mar. 2021電子ジャーナル
  • Convergence rate for eigenvalues of the elastic Neumann-Poincaré operator in two dimensions
    Kazunori Ando,Hyeonbae Kang,Yoshihisa Miyanishi
    Journal de Mathématiques Pures et Appliquées, Aug. 2020電子ジャーナル
  • Spectral analysis of Neumann-Poincare operator
    Kazunori Ando,Hyoenbae Kang,Yoshihisa Miyanishi,Mihai Putinar
    Revue Roumaine Math. Pures Appl., Jun. 2020
  • Spectral Properties of the Neumann–Poincaré Operator in 3D Elasticity
    Yoshihisa Miyanishi, Grigori Rozenblum
    International Mathematics Research Notices, 2021(11), 8715-8740, 11 Jan. 2020電子ジャーナル
  • Spectral structure of the Neumann--Poincare operator on tori
    K. Ando,Yong-Wang Ji,H. Kang,D. Kawagoe,Yoshihisa Miyanishi
    Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Jun. 2019電子ジャーナル
  • Eigenvalues of the Neumann-Poincare operator in dimension 3: Weyl's law and geometry
    Yoshihisa Miyanishi,Grigori Rosenblum
    St. Petersburg Mathematical Journal, 2019電子ジャーナル
  • Spectral Structure of Elastic Neumann-Poincaré Operators
    Yoshihisa Miyanishi,Kazunori Ando,Hyeonbae Kang
    Journal of Physics: Conference Series, 965(1), Feb. 2018電子ジャーナル
  • The First Hadamard variation of Neumann-Poincare eigenvalues on the sphere
    Y. Miyanishi,K. Ando,H. Kang,E. Ushikoshi
    Proc. Amer. Math. Soc., 2018電子ジャーナル
  • Exponential decay estimates of the eigenvalues for the Neumann-Poincare operator on analytic boundaries in two dimensions
    K. Ando,H. Kang,Y. Miyanishi
    Journal of Integral Equations and Applications, 2018
    Last電子ジャーナル
  • EIGENVALUES AND EIGENFUNCTIONS OF DOUBLE LAYER POTENTIALS
    Yoshihisa Miyanishi,Takashi Suzuki
    Transactions of the American Mathematical Society, 369(11), 8037-8059, Nov. 2017電子ジャーナル
  • Elastic Neumann-Poincar?e operators in three dimensions: Polynomial compactness and spectral structure
    Y. Miyanishi,K. Ando,H. Kang
    Int. Math. Res. Notices, 2017
    Lead, Corresponding電子ジャーナル
  • Low energy approximations of the Feynman path integral for Schrodinger evolution operators
    Yoshihisa Miyanishi
    大阪大学, Mar. 2014
  • Remarks on low-energy approximations for Feynman path integration on the sphere
    Yoshihisa Miyanishi
    Adv. Math. Appl. Anal., 9(1), 41-61, 2014
  • A remark on the eigenvalue distribution of Laplacian in quasi-bounded domains
    宮西 吉久
    東京工業大学, Mar. 1996

MISC

  • The spectral theory of the Neumann–Poincare operator on convex domains
    Yoshihisa Miyanishi
    RIMS Kokyuroku, 2235, 118 - 123, Dec. 2022, Invited
    Lead, Last, Corresponding
  • Notes on spectral clusters for semiclassical Schr}odinger operators
    Yoshihisa Miyanishi
    RIMS Kokyuroku, 2023, 29 - 34, 2016, Not invited
    http://hdl.handle.net/2433/231787
  • A remark on Laplace Eigenfunctions on M3A
    Yoshihisa Miyanishi
    北海道大学 数学講究録, 89, 135 - 138, 2006, Not invited
  • A remark on the equi-distribution of generalized eigenfunctions
    Yoshihisa Miyanishi
    北海道大学 数学講究録, 104, 61 - 68, 2005, Not invited
  • 固有関数漸近挙動と古典エルゴード性 : 一般 HAMILTON系が ERGODICである為の半古典固有関数に対する必要十分条件(スペクトル・散乱理論とその周辺)
    宮西 吉久
    RIMS Kokyuroku, 994, 138 - 154, 2000, Not invited
    http://ci.nii.ac.jp/naid/110004066232
  • A REMARK ON THE NON-SCARRING OF $-\triangle u_j=\lambda_j u_{j \cdot}$ (Microlocal Analysis of the Schrodinger Equation and Related Topics)
    Miyanishi Yoshihisa
    RIMS Kokyuroku, 1176, 18 - 25, Nov. 2000, Not invited
    http://ci.nii.ac.jp/naid/110000164859
  • SEMICLASSICAL ERGODICITY AND THE RELATED PROBLEMS (Spectral and Scattering Theory and Its Related Topics)
    Miyanisi Yosihisa
    RIMS Kokyuroku, 1156, 27 - 34, May 2000, Not invited
    http://ci.nii.ac.jp/naid/110000164545
  • Riemannian manifolds with uniformly bounded eigenfunctions
    Yoshihisa Miyanishi
    ランダム行列とその周辺(筑波大学), 43 - 47, 2000, Not invited
  • Quantum ergodicity and the related problems
    Yoshihisa Miyanishi
    微分方程式の解の研究の新展開(東京工業大学), 132 - 138, 1998, Not invited

Books and other publications

  • データサイエンスリテラシー : モデルカリキュラム準拠
    数理人材育成協会, Contributor, 第2章から第4章
    培風館, Nov. 2021
    ISBN:9784563016135
  • 解析入門―例を中心として
    宮西 吉久, Single work
    学術図書出版社, May 2006
    ISBN:4873618347

Courses

  • Functional Analysis
    Apr. 2024 - Jul. 2024
    Shinshu university
  • Calculus I
    Apr. 2024 - Jul. 2024
    Shinshu university
  • Exercise in Calculus Ⅱ
    Oct. 2024 - Jan. 2025
    Shinshu university
  • Calculus Ⅱ
    Oct. 2024 - Jan. 2025
    Shinshu university
  • Advanced Calculus Ⅱ
    Oct. 2024 - Jan. 2025
    Shinshu university
  • Exercise in CalculusI
    Shinshu University
  • CalculusI
    Shinshu University
  • Exercise in CalculusII
    Shinshu University
  • CalculusII
    Shinshu University
  • Functional Analysis
    Shinshu University
  • Functional Analysis
    Shinshu University
  • Calculus II
    Shinshu University
  • Exercise in Calculus II
    Shinshu University
  • Calculus I
    Shinshu University
  • Exercise in Calculus I
    Shinshu University
  • Exercise in Calculus I
    Shinshu University
  • Calculus I
    Shinshu University
  • Exercise in Calculus II
    Shinshu University
  • Calculus II
    Shinshu University
  • Functional Analysis
    Shinshu University

Affiliated academic society

  • The Mathematical Society of Japan
  • American Mathematical Society
  • Society for Industrial and Applied Mathematics
  • Inverse Problems International Association (IPIA)
  • Mathematical Association of America

Research Themes

  • 力学系および(偏)微分方程式系の周期構造と量子化された作用素のスペクトル構造の活用
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C)
    Shinshu University
    Apr. 2025 - Mar. 2029
  • ノイマン-ポアンカレ作用素の擬微分作用素による一般化とプラズモン共鳴の研究
    Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C)
    Ehime University
    Apr. 2025 - Mar. 2029
  • ノイマン・ポアンカレ作用素のスペクトル理論と一般化された積分作用素への拡張
    科学研究費補助金, 日本学術振興会, 若手研究
    Apr. 2021 - Mar. 2023
  • ノイマン-ポアンカレ作用素のスペクトル解析とプラズモン共鳴現象への応用
    科学研究費補助金, 日本学術振興会, 基盤研究(C)
    Apr. 2020 - Mar. 2024
  • ノイマン・ポアンカレ作用素のスペクトル理論
    科学研究費補助金, 日本学術振興会, 若手研究
    Apr. 2019 - Mar. 2021
  • 多成分偏微分方程式系の解析的研究
    科学研究費補助金, 日本学術振興会, 基盤研究(B)
    Apr. 2019 - Mar. 2021
  • ノイマン-ポアンカレ作用素のスペクトル解析とその応用
    科学研究費補助金, 日本学術振興会, 基盤研究(C)
    Apr. 2017 - Mar. 2020

Academic Contribution Activities

  • Neumann—Poincaré Operator, Layer Potential Theory, Plasmonics and Related Topics
    Planning etc
    ICIAM 2023, Waseda University, Tokyo, Japan, 20 Aug. 2023 - 25 Aug. 2023
  • Planning etc
    Mini-Workshop on Mathematical Analysis and Related Topics, ZOOM, 17 Jan. 2022 - 17 Jan. 2022
  • Others
    Communications on Analysis and Computation (CAC), American Institute of Mathematical Sciences